Jerrold E. Marsden

发表

Dissipation-Induced Heteroclinic Orbits in Tippe Tops

Jerrold E. Marsden, Louis A. Romero, Nawaf Bou-Rabee, 2008, SIAM Rev..

A Discrete Geometric Optimal Control Framework for Systems with Symmetries

Gaurav S. Sukhatme, Jerrold E. Marsden, Mathieu Desbrun, 2007, Robotics: Science and Systems.

Mathematical aspects of classical field theory : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 20-26, 1991, with support from the National Science Foundation

Jerrold E. Marsden, Mark J. Gotay, Vincent Moncrief, 1992 .

Regularization of the Amended Potential and the Bifurcation of Relative Equilibria

Jerrold E. Marsden, Antonio Hernández-Garduño, J. Marsden, 2005, J. Nonlinear Sci..

Gyroscopic Forces and Collision Avoidance with Convex Obstacles

Jerrold E. Marsden, Dong Eui Chang, 2003 .

Bifurcations of dynamical systems and nonlinear oscillations in engineering systems

Jerrold E. Marsden, Philip Holmes, P. Holmes, 1978 .

Discrete mechanics and optimal control applied to the compass gait biped

Jerrold E. Marsden, Aaron D. Ames, David Pekarek, 2007, 2007 46th IEEE Conference on Decision and Control.

Stabilization of relative equilibria

Jerrold E. Marsden, Sameer M. Jalnapurkar, 2000, IEEE Trans. Autom. Control..

Self-Consistent Multiscale Theory of Internal Wave, Mean-Flow Interactions

Jerrold E. Marsden, Darryl D. Holm, Len G. Margolin, 1999 .

Banach Spaces and Differential Calculus

Jerrold E. Marsden, Tudor S. Ratiu, Ralph Abraham, 1988 .

The Lyapunov-Malkin theorem and stabilization of the unicycle with rider

Jerrold E. Marsden, Anthony M. Bloch, Dmitry V. Zenkov, 2002, Syst. Control. Lett..

Quasivelocities and stabilization of relative equilibria of underactuated nonholonomic systems

Jerrold E. Marsden, Anthony M. Bloch, Dmitry V. Zenkov, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

Stabilization of mechanical systems using controlled Lagrangians

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics

Jerrold E. Marsden, Anthony M. Bloch, Jared M. Maruskin, 2012, J. Nonlinear Sci..

The two-body problem

Jerrold E. Marsden, Ralph Abraham, 2008 .

Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 2000, IEEE Trans. Autom. Control..

Geometric control of particle manipulation in a two-dimensional fluid

Jerrold E. Marsden, Richard M. Murray, Yizhar Or, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

Transport and Capture of Comets

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 2001 .

Lagrangian Averaging for Compressible Fluids

Jerrold E. Marsden, Razvan C. Fetecau, Kamran Mohseni, 2005, Multiscale Model. Simul..

From Topology to Computation: Proceedings of the Smalefest

Jerrold E. Marsden, Stephen Smale, Michael Shub, 2011 .

Prototype Applications of Gas Flows

Jerrold E. Marsden, Lawrence Sirovich, S. S. Antman, 2005 .

Mechanical feedback control systems

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 1999 .

Symmetries in Motion: Geometric Foundations of Motion Control

Jerrold E. Marsden, James P. Ostrowski, J. Marsden, 1998 .

Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry

Jerrold E. Marsden, Dong Eui Chang, J. Marsden, 2004, SIAM J. Control. Optim..

Transport in Dynamical Astronomy and Multibody Problems

Shane D. Ross, Jerrold E. Marsden, Michael Dellnitz, 2005, Int. J. Bifurc. Chaos.

Hamilton–Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving Properties

Jerrold E. Marsden, Nawaf Bou-Rabee, J. Marsden, 2008, Found. Comput. Math..

Geometric, variational integrators for computer animation

Jerrold E. Marsden, Yiying Tong, Mathieu Desbrun, 2006, SCA '06.

Stabilization of rigid body dynamics by internal and external torques

Jerrold E. Marsden, Anthony M. Bloch, P. S. Krishnaprasad, 1992, Autom..

Reduced-Order Simulation

Jerrold E. Marsden, Lawrence Sirovich, S. S. Antman, 2005 .

Underwater Glider Networks for Adaptive Ocean Sampling

Naomi Ehrich Leonard, Jerrold E. Marsden, Clarence W. Rowley, 2002 .

DMOC approach of real-time trajectory generation for mechanical systems

Jerrold E. Marsden, Tamer Inanc, Weizhong Zhang, 2008, 2008 10th International Conference on Control, Automation, Robotics and Vision.

Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms

Jerrold E. Marsden, Yiying Tong, Mathieu Desbrun, 2007, 0707.4470.

Control for an autonomous bicycle

Jerrold E. Marsden, Neil H. Getz, J. Marsden, 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

Collected works || uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region

Jerrold E. Marsden, Boris Khesin, Vladimir I. Arnold, 2009 .

Variational integrators for electric circuits

Jerrold E. Marsden, Houman Owhadi, Sina Ober-Blöbaum, 2011, J. Comput. Phys..

Manifolds, Vector Fields, and Differential Forms

Jerrold E. Marsden, Tudor S. Ratiu, 1999 .

Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems

Jerrold E. Marsden, Tudor S. Ratiu, J. Marsden, 1999 .

Tippe Top Inversion as a Dissipation-Induced Instability

Jerrold E. Marsden, Louis A. Romero, Nawaf Bou-Rabee, 2004, SIAM J. Appl. Dyn. Syst..

Foundations of Mechanics, Second Edition

Jerrold E. Marsden, Ralph Abraham, R. Abraham, 1987 .

Hamiltonian Reduction by Stages

Jerrold E. Marsden, J. Marsden, 2007 .

Reduced Variational Formulations in Free Boundary Continuum Mechanics

Jerrold E. Marsden, Tudor S. Ratiu, François Gay-Balmaz, 2012, J. Nonlinear Sci..

APPLIED NONLINEAR STOCHASTIC DYNAMICS

Jerrold E. Marsden, Jinqiao Duan, Linn F. Mollenauer, 1999 .

Discrete Lie Advection of Differential Forms

Jerrold E. Marsden, Yiying Tong, Mathieu Desbrun, 2009, Found. Comput. Math..

Open-boundary modal analysis: Interpolation, extrapolation, and filtering

Jerrold E. Marsden, Francois Lekien, Chad Coulliette, 2004 .

Optimal Control and Geodesics on Quadratic Matrix Lie Groups

Jerrold E. Marsden, Peter E. Crouch, Anthony M. Bloch, 2008, Found. Comput. Math..

Differential Equations: An Introduction with Mathematica®

Jerrold E. Marsden, Stan Wagon, Gaston Gonnet, 1995 .

Basic Complex Analysis

Jerrold E. Marsden, J. Marsden, 1973 .

Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures

Jerrold E. Marsden, Melvin Leok, Hiroaki Yoshimura, 2010, 49th IEEE Conference on Decision and Control (CDC).

Nonsmooth Lagrangian Mechanics and Variational Collision Integrators

Jerrold E. Marsden, Razvan C. Fetecau, Matthew West, 2003, SIAM J. Appl. Dyn. Syst..

Stabilization of the unicycle with rider

Jerrold E. Marsden, Anthony M. Bloch, Dmitry V. Zenkov, 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

Locomotion of Articulated Bodies in a Perfect Fluid

Jerrold E. Marsden, Clarence W. Rowley, Eva Kanso, 2005, J. Nonlinear Sci..

Applications of Integration

Jerrold E. Marsden, Alan Weinstein, 1985 .

The three-body problem

Jerrold E. Marsden, Ralph Abraham, 2008 .

On the geometry of the Liapunov-Schmidt procedure

Jerrold E. Marsden, 1979 .

Discrete Geometric Optimal Control on Lie Groups

Jerrold E. Marsden, Marin Kobilarov, J. Marsden, 2011, IEEE Transactions on Robotics.

Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2009, Multiscale Model. Simul..

Four Applications of Nonlinear Analysis to Physics and Engineering

Jerrold E. Marsden, 1982 .

Mechanical Systems: Symmetries and Reduction

Jerrold E. Marsden, Tudor S. Ratiu, J. Marsden, 2009, Encyclopedia of Complexity and Systems Science.

Multiple target detection using Bayesian learning

Jerrold E. Marsden, Houman Owhadi, Konda Reddy Chevva, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

Optimal trajectory generation for a glider in time-varying 2D ocean flows B-spline model

Jerrold E. Marsden, Tamer Inanc, Sina Ober-Blöbaum, 2008, 2008 IEEE International Conference on Robotics and Automation.

Controlled Lagrangian Systems with Gyroscopic Forcing and Dissipation

Naomi Ehrich Leonard, Jerrold E. Marsden, Craig A. Woolsey, 2004, Eur. J. Control.

Halo orbit mission correction maneuvers using optimal control

Shane D. Ross, Jerrold E. Marsden, Linda R. Petzold, 2002, Autom..

Proceedings of the CRM Workshop on Hamiltonian Systems, Transformation Groups and Spectral Transform Methods

Jerrold E. Marsden, Spectral Transform Methods, J. P. Harnad, 1990 .

Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 2001, IEEE Trans. Autom. Control..

Global estimation in constrained environments

Gaurav S. Sukhatme, Jerrold E. Marsden, Marin Kobilarov, 2012, Int. J. Robotics Res..

Basic Methods of Integration

Jerrold E. Marsden, Alan Weinstein, 1985 .

Binary Asteroid Observation Orbits from a Global Dynamical Perspective

Jerrold E. Marsden, Daniel J. Scheeres, Wang Sang Koon, 2006, SIAM J. Appl. Dyn. Syst..

Transport in Dynamical Astronomy and Multibody Problems

Shane D. Ross, Jerrold E. Marsden, Michael Dellnitz, 2006 .

Stabilization of the pendulum on a rotor arm by the method of controlled Lagrangians

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

Controlled Lagrangians and the stabilization of Euler–Poincaré mechanical systems

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 2001 .

Bifurcation to divergence and flutter in flow-induced oscillations: an infinite dimensional analysis

Jerrold E. Marsden, Philip Holmes, P. Holmes, 1978, Autom..

Averaged Template Matching Equations

Jerrold E. Marsden, James Arvo, Anil N. Hirani, 2001, EMMCVPR.

Basic Concepts and Technologies

Lawrence Sirovich, Jerrold E. Marsden, Lawrence Sirovich, 2005 .

Dynamics and Control of Multibody Systems

Jerrold E. Marsden, Perinkulam S. Krishnaprasad, J. C. Simo, 1989 .

Bifurcation problems with hidden symmetries

Jerrold E. Marsden, Martin Golubitsky, David G. Schaeffer, 1984 .

Microflows and Nanoflows

Lawrence Sirovich, Jerrold E. Marsden, S. S. Antman, 2005 .

Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence

Jerrold E. Marsden, Kamran Mohseni, Steve Shkoller, 2003 .

The correlation between surface drifters and coherent structures based on high-frequency radar data in Monterey Bay

Jerrold E. Marsden, Shawn C. Shadden, Francois Lekien, 2009 .

Model reduction, centering, and the Karhunen-Loeve expansion

Jerrold E. Marsden, Richard M. Murray, S. Glavaski, 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

An Overview of Variational Integrators

Jerrold E. Marsden, Matthew West, Adrian J. Lew, 2004 .

A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam

Jerrold E. Marsden, Philip Holmes, P. Holmes, 1981 .

Applications of the blowing-up construction and algebraic geometry to bifurcation problems

Jerrold E. Marsden, Stephen Schecter, J. Marsden, 1983 .

EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION

Jerrold E. Marsden, Darryl D. Holm, Tudor S. Ratiu, 1998 .

Dissipation-induced instabilities in finite dimensions

Jerrold E. Marsden, Rouslan Krechetnikov, J. Marsden, 2007 .

An Introduction to Infinite-Dimensional Systems

Jerrold E. Marsden, Tudor S. Ratiu, 1999 .

The symmetric representation of the rigid body equations and their discretization

Jerrold E. Marsden, Peter E. Crouch, Tudor S. Ratiu, 2002 .

Asymptotic Stabilization of Euler-Poincaré Mechanical Systems

Naomi Ehrich Leonard, Jerrold E. Marsden, Craig A. Woolsey, 2000 .

Variational integrators, the Newmark scheme, and dissipative systems

Jerrold E. Marsden, Matthew West, Michael Ortiz, 2000 .

Reduction theory and the Lagrange-Routh equations

Jerrold E. Marsden, Tudor S. Ratiu, Jürgen Scheurle, 2000 .

The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type

Jerrold E. Marsden, Darryl D. Holm, Yuri N. Fedorov, 2001, nlin/0105025.

On the rotated stress tensor and the material version of the Doyle-Ericksen formula

Jerrold E. Marsden, J. C. Simo, Juan C. Simo, 1984 .

Representations of functions, celestial mechanics and KAM theory, 1957-1965

Jerrold E. Marsden, Boris Khesin, Vladimir M. Zakalyukin, 2009 .

Horseshoes and Arnold Diffusion for Hamiltonian Systems on Lie Groups

Jerrold E. Marsden, Philip Holmes, P. Holmes, 1981 .

Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method

Jerrold E. Marsden, T. A. Posbergh, Perinkulam S. Krishnaprasad, 1987 .

A Class of Integrable Geodsic Flows on the Symplectic Group

Jerrold E. Marsden, Tudor S. Ratiu, Anthony M. Bloch, 2005 .

Geometric mechanics, stability, and control

Jerrold E. Marsden, J. Marsden, 1994 .

Variational Integrators for Maxwell's Equations with Sources

Jerrold E. Marsden, Yiying Tong, Mathieu Desbrun, 2008, 0803.2070.

Poisson reduction for nonholonomic mechanical systems with symmetry

Jerrold E. Marsden, Wang Sang Koon, J. Marsden, 1998 .

Connecting orbits and invariant manifolds in the spatial restricted three-body problem

Shane D. Ross, Jerrold E. Marsden, Gerard Gómez, 2004 .

Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid.

Jerrold E. Marsden, David G. Ebin, J. Marsden, 1969 .

Dissipation and controlled Euler-Poincare systems

Naomi Ehrich Leonard, Jerrold E. Marsden, Craig A. Woolsey, 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

New methods in celestial mechanics and mission design

Shane D. Ross, Jerrold E. Marsden, J. Marsden, 2005 .

Some Remarks on Geometric Mechanics

Jerrold E. Marsden, J. Marsden, 1994 .

Exponentially Small Estimates for Separatrix Splittings

Jerrold E. Marsden, Philip Holmes, Jürgen Scheurle, 1991 .

Dynamical methods for polar decomposition and inversion of matrices

Jerrold E. Marsden, N. H. Getz, J. Marsden, 1997 .

Variational principles on principal fiber bundles: A geometry theory of Clebsch potentials and Lin constraints

Jerrold E. Marsden, Alberto Ibort, Hernán Cendra, 1987 .

Coupled Oscillator Models with no Scale Separation

Jerrold E. Marsden, Igor Mezic, I. Mezić, 2009 .

A short course in fluid mechanics

Jerrold E. Marsden, Thomas J. R. Hughes, 1976 .

Horseshoes in hurricanes

Jerrold E. Marsden, J. Marsden, P. D. Toit, 2010 .

Dynamic Modeling of α in the Isotropic Lagrangian Averaged Navier-Stokes-α Equations

Jerrold E. Marsden, Kamran Mohseni, Hongwu Zhao, 2004 .

Multisymplectic geometry, covariant Hamiltonians, and water waves

Jerrold E. Marsden, Steve Shkoller, J. Marsden, 1998, Mathematical Proceedings of the Cambridge Philosophical Society.

The Poincaré Map

Jerrold E. Marsden, M. McCracken, 1976 .

The structure of the space of solutions of Einstein's equations. I. One Killing field.

Jerrold E. Marsden, Vincent Moncrief, J. Marsden, 1980 .

Joint-space tracking of workspace trajectories in continuous time

Jerrold E. Marsden, N. H. Getz, 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity

Jerrold E. Marsden, Thomas J. R. Hughes, J. Marsden, 1977 .

The Genesis Trajectory and Heteroclinic Connections

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 1999 .

Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2011, 1104.0272.

Controlled Lagrangian methods and tracking of accelerated motions

Jerrold E. Marsden, Anthony M. Bloch, Dmitry V. Zenkov, 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

Lectures on Mechanics: Cotangent Bundle Reduction

Jerrold E. Marsden, 1992 .

Variational r‐adaption in elastodynamics

Jerrold E. Marsden, Michael Ortiz, J. Marsden, 2008 .

Covariant and dynamical reduction for principal bundle field theories

Jerrold E. Marsden, Marco Castrillón López, 2008 .

Symmetry reduction of discrete Lagrangian mechanics on Lie groups

Jerrold E. Marsden, Steve Shkoller, Sergey Pekarsky, 2000 .

The geometry and dynamics of interacting rigid bodies and point vortices

Jerrold E. Marsden, Eva Kanso, Joris Vankerschaver, 2008, 0810.1490.

Discrete rigid body dynamics and optimal control

Jerrold E. Marsden, Peter E. Crouch, Anthony M. Bloch, 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

Controlling homoclinic orbits

Jerrold E. Marsden, Anthony M. Bloch, J. Marsden, 1989 .

Symmetry and bifurcation in three-dimensional elasticity, part I

Jerrold E. Marsden, D. R. J. Chillingworth, J. Marsden, 1982 .

Potential shaping and the method of controlled Lagrangians

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

Generic bifurcation of Hamiltonian systems with symmetry

Jerrold E. Marsden, Ian Stewart, Martin Golubitsky, 1987 .

Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom

Jerrold E. Marsden, Philip Holmes, P. Holmes, 1982 .

QUALITATIVE TECHNIQUES FOR BIFURCATION ANALYSIS OF COMPLEX SYSTEMS *

Jerrold E. Marsden, Philip Holmes, P. Holmes, 1979 .

Foundations of Mechanics: 2nd Edition

Jerrold E. Marsden, Tudor S. Ratiu, Ralph Abraham, 1980 .

Feedback stabilization of relative equilibria for mechanical systems with symmetry

Jerrold E. Marsden, Anthony M. Bloch, J. Marsden, 1997 .

Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories

Jerrold E. Marsden, Mark J. Gotay, James Isenberg, 2004 .

Time–frequency analysis of the restricted three-body problem: transport and resonance transitions

Jerrold E. Marsden, Luz V. Vela-Arevalo, J. Marsden, 2004 .

Study of blood flow impact on growth of thrombi using a multiscale model

Jerrold E. Marsden, Shawn C. Shadden, Elliot D. Rosen, 2009 .

On Spatial and Material Covariant Balance Laws in Elasticity

Jerrold E. Marsden, Michael Ortiz, Arash Yavari, 2006 .

Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics.

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 2000, Chaos.

Fluids and Plasmas: Geometry and Dynamics

Jerrold E. Marsden, J. Marsden, 1984 .

Matching and stabilization of the unicycle with rider

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 2000 .

Geometric discretization of nonholonomic systems with symmetries

Gaurav S. Sukhatme, Jerrold E. Marsden, Marin Kobilarov, 2009 .

Reduction and Hamiltonian structures on duals of semidirect product Lie algebras

Jerrold E. Marsden, Tudor S. Ratiu, Alan Weinstein, 1984 .

Parking a Spacecraft near an Asteroid Pair

Jerrold E. Marsden, Wang Sang Koon, Frederic Gabern, 2006 .

Variational integrators for degenerate Lagrangians, with application to point vortices

Jerrold E. Marsden, Clarence W. Rowley, J. Marsden, 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

Relative equilibria for the generalized rigid body

Jerrold E. Marsden, Antonio Hernández-Garduño, J. Marsden, 2005 .

Spacecraft dynamics near a binary asteroid

Jerrold E. Marsden, Frederic Gabern, J. Marsden, 2005 .

Park City Lectures on Mechanics, Dynamics, and Symmetry

Jerrold E. Marsden, J. Marsden, 1999 .

Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design

Shane D. Ross, Jerrold E. Marsden, Gerard Gómez, 2001 .

Lagrangian Reduction, the Euler{Poincar e Equations, and Semidirect Products

Jerrold E. Marsden, Darryl D. Holm, Tudor S. Ratiu, 1999, chao-dyn/9906004.

Geometric Foundations of Motion and Control

Jerrold E. Marsden, J. Marsden, 2003 .

Resonance and Capture of Jupiter Comets

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 2001 .

Hamiltonian structure and Lyapunov stability for ideal continuum dynamics

Jerrold E. Marsden, Darryl D. Holm, Tudor S. Raţiu, 1986 .

Stability of relative equilibria. Part II: Application to nonlinear elasticity

Jerrold E. Marsden, T. A. Posbergh, J. C. Simo, 1991 .

Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems

Jerrold E. Marsden, Hiroaki Yoshimura, J. Marsden, 2007 .

Properties of infinite dimensional Hamiltonian systems

Jerrold E. Marsden, Paul R. Chernoff, J. Marsden, 1974 .

Basic Multivariable Calculus

Jerrold E. Marsden, Alan Weinstein, Anthony J. Tromba, 1993 .

Integration and topological vector spaces

Jerrold E. Marsden, Stephen S. Gelbart, J. Marsden, 1969 .

The Hopf bifurcation for nonlinear semigroups

Jerrold E. Marsden, J. Marsden, 1973 .

Quasiconvexity at the boundary, positivity of the second variation and elastic stability

Jerrold E. Marsden, John M. Ball, J. Marsden, 1984 .

Controllability for Distributed Bilinear Systems

Jerrold E. Marsden, John M. Ball, M. Slemrod, 1982 .

The constrained Liapunov-Schmidt procedure and periodic orbits

Jerrold E. Marsden, Ian Stewart, Michael Dellnitz, 1995 .

The Dynamics of Two Coupled Rigid Bodies

Jerrold E. Marsden, Perinkulam S. Krishnaprasad, R. Grossman, 1987 .

Diffeomorphism groups, hydrodynamics and relativity

Jerrold E. Marsden, David G. Ebin, J. Marsden, 1972 .

Variational Methods, Multisymplectic Geometry and Continuum Mechanics

Jerrold E. Marsden, Matthew West, Steve Shkoller, 2001 .

Chaos and Arnold diffusion in dynamical systems

Pravin Varaiya, Jerrold E. Marsden, P. Varaiya, 1983 .

Hamiltonian structure for a neutrally buoyant rigid body interacting with N vortex rings of arbitrary shape: the case of arbitrary smooth body shape

Jerrold E. Marsden, Banavara N. Shashikanth, Scott David Kelly, 2008 .

Cocycles, Compatibility, and Poisson Brackets for Complex Fluids

Jerrold E. Marsden, Tudor S. Ratiu, Hernán Cendra, 2004 .

Flat nonholonomic matching

Jerrold E. Marsden, Anthony M. Bloch, Dmitry V. Zenkov, 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

Visualization of orbits and pattern evocation for the double spherical pendulum

Jerrold E. Marsden, Jeffrey M. Wendlandt, Jürgen Scheurle, 1996 .

The Hamiltonian structure of continuum mechanics in material, inverse material, spatial and convective representations

Jerrold E. Marsden, Darryl D. Holm, Tudor S. Ratiu, 1986 .

Stress-Energy-Momentum Tensors and the Belinfante-Rosenfeld Formula

Jerrold E. Marsden, Mark J. Gotay, J. Marsden, 1992 .

The Hamiltonian structure for dynamic free boundary problems

Jerrold E. Marsden, Tudor S. Ratiu, Richard Montgomery, 1986 .

The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices

Jerrold E. Marsden, Joel W. Burdick, Banavara N. Shashikanth, 2002 .

Tracking implicit trajectories

Jerrold E. Marsden, N. H. Getz, J. Marsden, 1995 .

Trends and perspectives in applied mathematics

Lawrence Sirovich, Jerrold E. Marsden, L. Sirovich, 1994 .

Cartan-Hannay-Berry phases and symmetry

Jerrold E. Marsden, Tudor S. Ratiu, Sean M. Montgomery, 1989 .

Hamiltonian structures and stability for rigid bodies with flexible attachments

Jerrold E. Marsden, Perinkulam S. Krishnaprasad, P. Krishnaprasad, 1987 .

Mechanical systems with symmetry, variational principles, and integration algorithms

Jerrold E. Marsden, Jeffrey M. Wendlandt, J. Marsden, 1997 .

Empirical model reduction of controlled nonlinear systems

Jerrold E. Marsden, Sanjay Lall, S. Glavaski, 1999, IFAC Proceedings Volumes.

Two examples in nonlinear elasticity

Jerrold E. Marsden, John M. Ball, R. J. Knops, 1978 .

Uncertainty in the dynamics of conservative maps

Jerrold E. Marsden, Igor Mezic, Oliver Junge, 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

Quasivelocities and symmetries in non-holonomic systems

Jerrold E. Marsden, Anthony M. Bloch, Dmitry V. Zenkov, 2009 .

Gauged Lie-Poisson structures

Jerrold E. Marsden, Tudor S. Ratiu, Richard Montgomery, 1984 .

The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates

Jerrold E. Marsden, P. S. Krishnaprasad, J. C. Simo, 1988 .

Nonholonomic Mechanics and Control—A. M. Bloch with the

Jerrold E. Marsden, Peter E. Crouch, Kevin M. Lynch, 2004 .

Lagrangian coherent structures in the planar elliptic restricted three-body problem

Jerrold E. Marsden, Evan S. Gawlik, Philip C. Du Toit, 2009 .

The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems

Jerrold E. Marsden, Wang Sang Koon, J. Marsden, 1997 .

Integration Algorithms and Classical Mechanics

Jerrold E. Marsden, J. Marsden, W. Shadwick, 1996 .

Dirac cotangent bundle reduction

Jerrold E. Marsden, Hiroaki Yoshimura, J. Marsden, 2009 .

Symplectic connections and the linearisation of Hamiltonian systems

Jerrold E. Marsden, Tudor S. Ratiu, Geneviève Raugel, 1991, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

The Breadth of Symplectic and Poisson Geometry

Jerrold E. Marsden, Tudor S. Ratiu, J. Marsden, 2007 .

On product formulas for nonlinear semigroups

Jerrold E. Marsden, J. Marsden, 1973 .

Transport and stirring induced by vortex formation

Jerrold E. Marsden, Shawn C. Shadden, John O. Dabiri, 2007, Journal of Fluid Mechanics.

Design of a multi-moon orbiter

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 2003 .

Perspectives and problems in no[n]linear science : a celebratory volume in honor of Lawrence Sirovich

Lawrence Sirovich, Jerrold E. Marsden, Ehud Kaplan, 2003 .

Stabilization and Control

Jerrold E. Marsden, 1992 .

On destabilizing effects of two fundamental non-conservative forces

Jerrold E. Marsden, Rouslan Krechetnikov, J. Marsden, 2006 .

"Geometry, Mechanics, and Dynamics": Volume In Honor Of The 60Th Birthday Of J. E. Marsden

Jerrold E. Marsden, Alan Weinstein, Philip Holmes, 2011 .

Richardson number criterion for the nonlinear stability of three-dimensional stratified flow

Jerrold E. Marsden, Darryl D. Holm, Tudor S. Ratiu, 1984 .

Shoot the Moon

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 2000 .

Topics in the mathematical foundations of elasticity

Jerrold E. Marsden, Thomas J. R. Hughes, J. Marsden, 1978 .

Lagrangian coherent structures in n-dimensional systems

Jerrold E. Marsden, Shawn C. Shadden, Francois Lekien, 2007 .

Lin constraints, Clebsch potentials and variational principles

Jerrold E. Marsden, Hernán Cendra, J. Marsden, 1987 .

Discrete Routh reduction

Jerrold E. Marsden, Matthew West, Melvin Leok, 2006 .

Lagrangian Reduction by Stages

Jerrold E. Marsden, Tudor S. Ratiu, Hernán Cendra, 2001 .

A Discrete Theory of Connections on Principal Bundles

Jerrold E. Marsden, Melvin Leok, J. Marsden, 2005, math/0508338.

Discrete Poincaré lemma

Jerrold E. Marsden, Mathieu Desbrun, Melvin Leok, 2005 .

Matching and stabilization of low-dimensional nonholonomic systems

Naomi Ehrich Leonard, Jerrold E. Marsden, Anthony M. Bloch, 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

The breadth of symplectic and poisson geometry : Festschrift in honor of Alan Weinstein

Jerrold E. Marsden, Alan Weinstein, J. Marsden, 2005 .

A geometric treatment of Jellett’s egg

Jerrold E. Marsden, Louis A. Romero, Nawaf Bou-Rabee, 2005 .

Reduction of Hamilton's variational principle

Jerrold E. Marsden, Sameer M. Jalnapurkar, J. Marsden, 2000 .

A Class of Integrable Flows on the Space of Symmetric Matrices

Jerrold E. Marsden, Tudor S. Ratiu, Anthony M. Bloch, 2009 .

Low Energy Transfer to the Moon

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 2001 .

The Hamiltonian structure of the Maxwell-Vlasov equations

Jerrold E. Marsden, Alan Weinstein, J. Marsden, 1982 .

Generalized Hamiltonian mechanics

Jerrold E. Marsden, J. Marsden, 1968 .

Hamiltonian systems with symmetry, coadjoint orbits and plasma physics

Jerrold E. Marsden, Tudor S. Ratiu, Rudolf Schmid, 1983 .

Hamilton-Pontryagin Integrators on Lie Groups: Introduction and Structure-Preserving Properties

Jerrold E. Marsden, Nawaf Bou-Rabee, 2008 .

Generic Bifurcations of Pendula

Jerrold E. Marsden, Michael Dellnitz, Ian Melbourne, 1992 .

LINEARIZATION METHODS FOR VARIATIONAL INTEGRATORS AND EULER-LAGRANGE EQUATIONS

Jerrold E. Marsden, James Arvo, Anil N. Hirani, 2000 .

Titan Wind Analysis using Lagrangian Coherent Structures

Jerrold E. Marsden, J. Marsden, Simon Michael Coppack, 2009 .

Application of Tube Dynamics to Non-Statistical Reaction Processes

Shane D. Ross, Jerrold E. Marsden, Frederic Gabern, 2006 .

The dynamics of coupled planar rigid bodies. II. Bifurcations, periodic solutions, and chaos

Jerrold E. Marsden, Perinkulam S. Krishnaprasad, N. Sreenath, 1989 .

J2 DYNAMICS AND FORMATION FLIGHT

Jerrold E. Marsden, Richard M. Murray, Josep J. Masdemont, 2001 .

Variational Collision Integrators and Optimal Control

Jerrold E. Marsden, David N. Pekarek, 2008 .

The Hamiltonian structure of the BBGKY hierarchy equations

Jerrold E. Marsden, Philip J. Morrison, Alan Weinstein, 1984 .

Erratum: “The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices” [Phys. Fluids 14, 1214 (2002)]

Jerrold E. Marsden, Joel W. Burdick, Banavara N. Shashikanth, 2002 .

Symmetry and bifurcations of momentum mappings

Jerrold E. Marsden, Vincent Moncrief, Judith M. Arms, 1981 .

Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems

Jerrold E. Marsden, Philip Holmes, P. Holmes, 1982 .

Shock Regularization for the Burgers Equation

Jerrold E. Marsden, Kamran Mohseni, Hongwu Zhao, 2006 .

Theory and Computation of Non-RRKM Lifetime Distributions and Rates in Chemical Systems with Three or More Degrees of Freedom

Shane D. Ross, Jerrold E. Marsden, Wang Sang Koon, 2005 .

A block diagonalization theorem in the energy-momentum method

Jerrold E. Marsden, T. A. Posbergh, Debra Lewis, 1989 .

Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2010, 1006.4657.

Control and stabilization of systems with homoclinic orbits

Jerrold E. Marsden, Anthony M. Bloch, 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

Infinite dimensional measures and problem solutions

Jerrold E. Marsden, Stephen S. Gelbart, J. Marsden, 1969 .

Multi-Dirac Structures and Hamilton-Pontryagin Principles for Lagrange-Dirac Field Theories

Jerrold E. Marsden, Hiroaki Yoshimura, Joris Vankerschaver, 2010, 1008.0252.

Numerical Simulations of Homogeneous Turbulence using Lagrangian-Averaged Navier-Stokes Equations

Jerrold E. Marsden, Kamran Mohseni, Daniele Carati, 2000 .

The Euler-Poincaré Equations in Geophysical Fluid Dynamics

Jerrold E. Marsden, Darryl D. Holm, Tudor S. Ratiu, 1999, chao-dyn/9903035.

A dynamic inverse for nonlinear maps

Jerrold E. Marsden, J. Marsden, N. E. Getz, 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

Hamiltonian systems with symmetry

Jerrold E. Marsden, Ralph Abraham, R. Abraham, 2008 .

Geometry and control of three-wave interactions

Jerrold E. Marsden, Mark Alber, Gregory G. Luther, 1999 .

Stability of coupled rigid body and geometrically exact rods, block diagonalization and the energy, momentum method

Jerrold E. Marsden, T. A. Posbergh, J. C. Simo, 1990 .

Constructing a Low Energy TransferBetween Jovian Moons

Shane D. Ross, Jerrold E. Marsden, Martin W. Lo, 2001 .

REDUCTION OF DIRAC STRUCTURES AND THE HAMILTON-PONTRYAGIN PRINCIPLE

Jerrold E. Marsden, Hiroaki Yoshimura, J. Marsden, 2007 .

Qualitative methods in bifurcation theory

Jerrold E. Marsden, J. Marsden, 1978 .

Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction

Jerrold E. Marsden, Mark Alber, Gregory G. Luther, 1998 .

Pattern evocation and geometric phases in mechanical systems with symmetry

Jerrold E. Marsden, Jürgen Scheurle, J. Marsden, 1995 .

Transport in Dynamical Astronomy and Multibody Problems 0

Shane D. Ross, Jerrold E. Marsden, Michael Dellnitz, 2004 .

The energy-momentum method for the stability of non-holonomic systems

Jerrold E. Marsden, Anthony M. Bloch, Dmitry V. Zenkov, 1998 .

Stability and bifurcation of a rotating planar liquid drop

Jerrold E. Marsden, Tudor S. Ratiu, Debra Lewis, 1987 .

LYAPUNOV-BASED TRANSFER BETWEEN ELLIPTIC KEPLERIAN ORBITS

Jerrold E. Marsden, Dong Eui Chang, J. Marsden, 2001 .

Asymptotic stabilization of the heavy top using controlled Lagrangians

Jerrold E. Marsden, Dong Eui Chang, 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

Nonlinear stability of fluid and plasma equilibria

Jerrold E. Marsden, Darryl D. Holm, Tudor S. Ratiu, 1985 .

The Limits of Hamiltonian Structures in Three Dimensional Elasticity , Shells , and Rods

Jerrold E. Marsden, Zhong Ge, J. Marsden, 1996 .

Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory

Jerrold E. Marsden, Mark J. Gotay, James Isenberg, 1998, physics/9801019.

Symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials

Jerrold E. Marsden, Houman Owhadi, Molei Tao, 2010, 1006.4659.

Review: Victor Guillemin and Shlomo Sternberg, Geometric asymptotics, and Nolan R. Wallach, Symplectic geometry and Fourier analysis

Jerrold E. Marsden, Alan Weinstein, J. Marsden, 1979 .

Foundations of computational geometric mechanics

Jerrold E. Marsden, Melvin Leok, J. Marsden, 2004 .

Geometric mechanics, Lagrangian reduction, and nonholonomic systems

Jerrold E. Marsden, Tudor S. Ratiu, Hernán Cendra, 2001 .

Two‐Point Boundary Value Problems

Lawrence Sirovich, Jerrold E. Marsden, M. Golubitsky, 2020, An Introduction to the Finite Element Method for Differential Equations.

Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations

Jerrold E. Marsden, Philip Holmes, Jürgen Scheurle, 1988 .

Arnold diffusion in the swing equations of a power system

Pravin Varaiya, Jerrold E. Marsden, P. Varaiya, 1984 .